No. You don't have diabetes. With a1c of 5.3 and fasting glucose mostly <100, you don't have pre-diabetes also. Keep in mind, for fasting sugar, we need the actually blood test rather than what you get from the glucometer but given everything above, you are doing well. No worries.

See below. If fasting for >8 hours.
Fasting sugar 100-125 is pre-diabetes and 2-hrs after eating 140-199 is
prediabetes.
Fasting -126 and higher;
and 2 hours after eating, 200 and greater, is diabetes
can get home blood glucose testing equipment over the counter in pharmacies
so you have pre-diabetes.